10214 calls:
| 5.7s | (/ (* (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ (* M D) (* 2 d))) (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ (* M D) (* 2 d)))) (* (* (* (/ l h) 2) (* (/ l h) 2)) (* (/ l h) 2))) |
| 5.4s | (/ (* (* (* l 2) (* l 2)) (* l 2)) (* (* (* (/ (* M D) (* 2 d)) h) (* (/ (* M D) (* 2 d)) h)) (* (/ (* M D) (* 2 d)) h))) |
| 5.2s | (/ (* (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d)))) (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d)))) (* (* (* (/ l h) 2) (* (/ l h) 2)) (* (/ l h) 2))) |
| 5.0s | (/ (* (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))) (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))))) (* (* (* 4 (+ 1 (* v v))) (* 4 (+ 1 (* v v)))) (* 4 (+ 1 (* v v))))) |
| 4.9s | (* (+ (* 1 1) (+ (* (/ (/ (* M D) (* 2 d)) (/ (* l 2) (* (/ (* M D) (* 2 d)) h))) (/ (/ (* M D) (* 2 d)) (/ (* l 2) (* (/ (* M D) (* 2 d)) h)))) (* 1 (/ (/ (* M D) (* 2 d)) (/ (* l 2) (* (/ (* M D) (* 2 d)) h)))))) (* (sqrt l) (sqrt h))) |
| 55× | intervals |
| 2.2m | 240917× | body | 80 | valid |
| 1.8m | 21876× | body | 1280 | valid |
| 1.8m | 159868× | body | 80 | nan |
| 52.9s | 16558× | body | 640 | valid |
| 52.8s | 8490× | body | 10240 | exit |
| 37.6s | 7196× | body | 2560 | valid |
| 32.7s | 3324× | body | 5120 | valid |
| 19.3s | 8130× | body | 320 | valid |
| 9.2s | 8411× | body | 160 | valid |
| 3.1s | 620× | body | 1280 | nan |
| 2.4s | 614× | body | 640 | nan |
| 313.0ms | 346× | body | 320 | nan |
| 121.0ms | 182× | body | 160 | nan |
417 calls:
| 2.5s | (sqrt (pow (* n (* U (* 2 (+ (* (/ l Om) (* -2 l)) (- t (* (* (/ l Om) (* (/ l Om) (- U U*))) n)))))) 1)) |
| 2.2s | (cos (* (* (cbrt (* m (/ K 2))) (cbrt (- (/ (* K (+ m n)) 2) M))) (cbrt (- (/ (* K (+ m n)) 2) M)))) |
| 2.0s | (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) |
| 1.9s | (sqrt (pow (* (* n U) (* 2 (+ (* (/ l Om) (* -2 l)) (- t (* (* (/ l Om) (* (/ l Om) (- U U*))) n))))) 1)) |
| 1.8s | (sqrt (pow (* (* n U) (* 2 (+ (* (/ l Om) (* -2 l)) (- t (* (* (* (/ l Om) (/ l Om)) (- U U*)) n))))) 1)) |
Total 49.3b remaining (29.3%)
| 9.0b | 21.2% | Toniolo and Linder, Equation (13) |
| 8.0b | 7.8% | Maksimov and Kolovsky, Equation (3) |
| 7.6b | 69.6% | Toniolo and Linder, Equation (7) |
| 6.6b | 49.8% | Henrywood and Agarwal, Equation (3) |
| 6.6b | -8.9% | Henrywood and Agarwal, Equation (13) |
| 109× | rewrite-expression-head |
417 calls:
| 798.0ms | (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) |
| 197.0ms | (/ (+ EAccept (- (+ Ev Vef) mu)) KbT) |
| 186.0ms | (+ (pow a 4) (* (* (* a b) (* a b)) 2)) |
| 176.0ms | (/ (- 1 (* 5 (* v v))) (* (* (* (* PI t) (* (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* 3 (* v v)))))))) (cbrt (sqrt (* 2 (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) |
| 162.0ms | (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) |
| 8787× | times-frac |
| 4772× | add-sqr-sqrt |
| 4738× | *-un-lft-identity |
| 4698× | add-cube-cbrt |
| 2357× | cbrt-prod |
| 1420× | div-inv |
| 1304× | sqrt-prod |
| 1141× | add-exp-log |
| 1013× | associate-*r* |
| 988× | add-cbrt-cube |
| 895× | associate-*r/ |
| 709× | pow1 |
| 539× | associate-/r/ |
| 533× | sqrt-div |
| 516× | associate-/l* |
| 476× | add-log-exp |
| 452× | frac-times |
| 415× | insert-posit16 |
| 401× | associate-/r* |
| 364× | cbrt-div |
| 358× | associate-*l/ |
| 336× | associate-*l* |
| 304× | flip3-- flip-- |
| 230× | div-exp |
| 223× | prod-exp |
| 209× | flip-+ flip3-+ |
| 191× | cbrt-unprod |
| 179× | expm1-log1p-u log1p-expm1-u |
| 172× | cbrt-undiv |
| 150× | unpow-prod-down |
| 149× | frac-add |
| 142× | prod-diff |
| 141× | *-commutative |
| 125× | pow-prod-down |
| 114× | frac-2neg clear-num |
| 102× | associate-/l/ |
| 87× | unpow-prod-up |
| 81× | fma-udef |
| 77× | distribute-rgt-in distribute-lft-in |
| 67× | pow1/2 |
| 57× | rem-sqrt-square |
| 55× | pow-to-exp |
| 47× | difference-of-sqr-1 |
| 39× | sub-neg |
| 38× | pow1/3 |
| 36× | sin-mult |
| 32× | div-sub |
| 27× | pow-exp associate-+r+ |
| 26× | sum-log |
| 24× | rec-exp |
| 22× | tan-quot |
| 21× | exp-prod |
| 20× | pow-prod-up |
| 18× | pow2 |
| 16× | pow-pow fma-neg |
| 15× | pow-plus pow-unpow |
| 14× | associate-+r- +-commutative |
| 13× | distribute-lft-out un-div-inv |
| 12× | sqr-sin |
| 11× | distribute-lft-out-- fma-def |
| 10× | unpow2 |
| 8× | pow-flip inv-pow |
| 7× | exp-diff |
| 6× | difference-of-squares diff-log |
| 5× | associate--l+ associate-+l- rem-exp-log |
| 4× | distribute-lft-neg-in frac-sub exp-sum distribute-rgt-neg-in log-pow acos-asin log-div |
| 3× | pow3 |
| 2× | associate-+l+ neg-sub0 log-prod distribute-frac-neg cos-sum distribute-neg-frac distribute-rgt-out-- neg-mul-1 remove-posit16 pow-sub rem-log-exp |
| 1× | distribute-lft-neg-out cube-unmult sqrt-unprod sub-div exp-neg asin-acos rem-square-sqrt cos-diff associate--r- distribute-rgt1-in |